Arithmetic of blowup algebras / Wolmer V. Vasconcelos.

By:

Vasconcelos, Wolmer V

Material type: Text

TextSeries: London Mathematical Society lecture note series ; 195.Publication details: Cambridge ; New York : Cambridge University Press, 1994.Description: 1 online resource (329 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107362000
1107362008
9780511574726
051157472X

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Arithmetic of blowup algebras.DDC classification:

512/.24 22

LOC classification:

QA251.3 .V36 1994eb

Other classification:

31.23

Online resources:

Click here to access online

Contents:

Foreword -- Introduction -- Krull dimension -- Syzygetic sequences -- Approximation complexes -- Linkage and Koszul homology -- Arithmetic of Rees algebras -- Fractoriality -- Ideal transforms -- The equations of Rees algebras -- Commuting varieties of algebra -- Computational methods in commutative algebra.

Summary: This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Gröbner basis theory and advanced commutative algebra. The author presents the Gröbner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 309-326) and index.

Print version record.

This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Gröbner basis theory and advanced commutative algebra. The author presents the Gröbner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics.

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